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Simplifying 3(2x + -2) + -4(1x + -3) = 28 Reorder the terms: 3(-2 + 2x) + -4(1x + -3) = 28 (-2 * 3 + 2x * 3) + -4(1x + -3) = 28 (-6 + 6x) + -4(1x + -3) = 28 Reorder the terms: -6 + 6x + -4(-3 + 1x) = 28 -6 + 6x + (-3 * -4 + 1x * -4) = 28 -6 + 6x + (12 + -4x) = 28 Reorder the terms: -6 + 12 + 6x + -4x = 28 Combine like terms: -6 + 12 = 6 6 + 6x + -4x = 28 Combine like terms: 6x + -4x = 2x 6 + 2x = 28 Solving 6 + 2x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 28 + -6 2x = 28 + -6 Combine like terms: 28 + -6 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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